article · Scientific Reports
This numerical study investigates the behaviour of hydromagnetic hyperbolic tangent nanofluid flow past a permeable wedge under the influence of melting heat transfer. The mathematical formulation incorporates thermal radiation, suspended nanoparticles, and Soret and Dufour effects through a system of coupled non-linear partial differential equations. Using a fourth-order accurate Lobatto IIIa collocation solver in MATLAB, the equations were solved to analyse fluid velocity, temperature, and nanoparticle distribution alongside shear stress and heat transfer rates. The computations show that raising the Weissenberg number increases the thickness of momentum, thermal, and solutal boundary layers. In contrast, higher values of the power-law index, which characterises shear-thinning fluid dynamics, increase fluid velocity while reducing the momentum boundary layer thickness. The research provides theoretical insight into complex fluid dynamics relevant to chemical engineering processes.
Understanding how heat transfer and melting processes interact with complex magnetic nanofluids is essential for refining industrial thermal systems. By detailing how fluid thickness and velocity shift under varying physical parameters, this work helps engineers better predict fluid movement in systems involving shear-thinning materials, assisting the design of more predictable heat exchange and fluid processing equipment.
The abstract explicitly links this work to chemical engineering coating materials, such as durable paints, aerosol manufacturing, and the thermal treatment of water-soluble solutions. Industrial chemical formulators and processing engineers could use these mathematical insights to optimise coating flows. However, as this represents early-stage numerical modelling without physical experimental testing, real-world deployment remains distant and requires practical laboratory validation.
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In this communication, the joint impacts of the process of melting as well as wedge angle entity on hydromagnetic hyperbolic tangent nanofluid flow owing to permeable wedge-shaped surface in the incidence of suspended nanoparticles along with radiation, Soret and Dufour numbers are scrutinized. The mathematical model which represents the system consists of a system of highly non-linear coupled partial differential equations. These equations are solved using a finite-difference-based MATLAB solver which implements the Lobatto IIIa collocation formula and is fourth-order accurate. Further, the comparison of computed results is carried out with the previously reported articles and outstanding conformity is recorded. Emerged physical entities affecting the bearings of tangent hyperbolic MHD nanofluid velocity, distribution of temperature, and concentration of nanoparticles are visualized in graphs. In another line, shearing stress, the surface gradient of heat transfer, and volumetric rate of concentration are recorded in tabular form. Most interestingly, momentum boundary layer thickness and thicknesses of thermal as well as solutal boundary layers enhance with an increment of Weissenberg number. Moreover, an increment on tangent hyperbolic nanofluid velocity and decrement on the thickness of momentum boundary layer is visualized for the increment of numerical values of power-law index entity, which can determine the behavior of shear-thinning fluids.This study has applications for coating materials used in chemical engineering, such as strong paints, aerosol manufacturing, and thermal treatment of water-soluble solutions.
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DOI: 10.1038/s41598-023-30656-2
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